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In a regular polygon the ratio of an exterior angle to the measure of an interior angle is 2 to13 how many sides does the polygon have?
Interior angle 156 degrees Exterior angle 24 degrees 360/24 = 15 sides
What regular polygon has interior angle 177?
If interior angles are 177o then exterior angles are 3o. Exterior angle times number of sides is always 360 so the polygon has 120 sides.
How many sides a polygon have with an angle 30?
Smallest possible interior angle of regular polygon is 60 degrees (triangle). The greater the number of sides, the greater each interior angle. If exterior angle is 30 degrees, the polygon has 12 sides.
What is the number of sides a regular polygon have with an interior angle of 174?
Interior angle = 174 so exterior angle = 180-174 = 6 degrees. Therefore, number of sides = 360/exterior angle = 360/6 = 60 sides.
What is the interior and exterior angle of a regular 15 sided polygon?
The measure of an interior angle in degrees of a regular polygon of n sides is given by the formula: 180 x (n-2) / nSubstituting with n=15, then the answer is thatthe interior angle = 12x13 =156The measure of an exterior angle in degrees of a regular polygon of n sides is given by the formula: 360/nSubstituting with n= 15, then the answer is that the exterior angle = 24
What is the exterior angle of a pollygon?
An exterior angle of a polygon is the supplement of the corresponding interior angle. The exterior angle is the angle between an extended sides of the polygon and the next side of the polygon.
What is the exterior and interior angles of a polygon with 30 sides?
A regular polygon of 30 sides will each have an exterior angle of 12 degrees and an interior angle of 168 degrees.
What are the interior and exterior angles of a regular polygon?
If the polygon has n sides, each exterior angle is 360/n degrees.The interior angle is 180 less exterior angle.
What is the rule to get the number of sides of a regular polygon when given the interior angle?
180-interior angle = exterior angle 360/exterior angle = number of sides
How do you work out the exterior and interior angles of a regular polygon with W sides?
Exterior angle regular polygon = 360° ÷ number of sides = 360° ÷ W Interior angle regular polygon = 180° - exterior angle regular polygon = 180° - (360° ÷ number of sides ) = 180° - (360° ÷ W)
In a regular polygon the ratio of an exterior angle to the measure of an interior angle is 2 to13 how many sides does the polygon have?
Interior angle 156 degrees Exterior angle 24 degrees 360/24 = 15 sides
What is the measures of an interior angle and an exterior angle of a regular polygon with 6 sides?
Interior angle = 120 degrees Exterior angle = 60 degrees
How do you find a exterior angle?
180-interior angle = exterior angle If it's a regular polygon then: 360/number of sides = exterior angle
What is the exterior and interior angles of a regular polygon with 30 sides?
Exterior angle 12 degrees Interior angle 168 degrees
What is the interior and exterior angle of a regular polygon?
Each exterior angle of a regular polygon with n sides is 360/n degrees. Each interior angle of a regular polygon is 180 - Exterior angle. A direct formula for the interior angle is 180*(n-2)/n degrees.
Give the formulas for finding the number of sides of a regular polygon when given the measure of an interior angle?
180-interior angle = exterior angle 360/exterior angle = number of sides
What is the Definition an interior angle of a polygon?
A polygon is a closed plane figure bounded by straight sides. Since it is a closed surface, it has an interior (inside) and an exterior (outside). The interior angle of a polygon is the angle formed by two adjacent sides such that the angle is facing the interior of the polygon.
